## Calculus 8th Edition

$2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$
Use logarithmic properties $ln(pq) = lnp+lnq$ and $ln(p)^{m}= m lnp$ $2lnx+3lny-lnz=lnx^{2}+lny^{3}-lnz$ This implies $2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$